The concern of the previous paragraph is briefly addressed at the end of the introduction in [1]} were the authors say: “The only way to avoid the instability ... would be to always have some additional light states". If one identifies the UV scale with the supersymmetry breaking scale, then there seem to be generically additional light states at or below this scale. If one deals with a vacuum in which all fields but the goldstino are massive, then one could potentially choose the UV scale to be below the mass of the lightest states and the theory reduces to only the VA model. However, this would at best apply to an anti-D3-brane on top of O3-plane and not to the generic anti-D3-brane uplift of KKLT since there is a massless U(1) gauge field in addition to the goldstino.
